Finding the Third Proportional to 37,697 and 55,420

Step by Step Solution

1. Step 1: Write the proportion equation
   37,697 : 55,420 = 55,420 : x
2. Step 2: Convert to fraction form
   37,697/55,420 = 55,420/x
3. Step 3: Cross multiply
   37,697x = 55,420 × 55,420
4. Step 4: Simplify right side
   37,697x = 3,071,376,400
5. Step 5: Solve for x
   x = 3,071,376,400/37,697
6. Step 6: Final answer
   x = 81,475.35